MECHENG 322 : Control Systems

Engineering

2024 Semester One (1243) (15 POINTS)

Course Prescription

An introduction to classical control of mechanical and mechatronic systems. Topics include: transfer functions, block diagrams, time response characteristics, stability, frequency response characteristics, and controller design (e.g., pole placement, lead-lag compensation, PID). Applications in MATLAB/Simulink and with physical systems.

Course Overview

This is a required course for BE(Hons) Mechanical and BE(Hons) Mechatronics programmes. It builds upon an understanding of dynamic systems expressed as ordinary differential equations from the prerequisite courses.

Detailed Topic Summary
  1. Introduction
    - Control system concepts, block diagrams 
  2. Modelling in the Laplace Domain
    - Laplace transform, transfer function, block algebra 
  3. Time Response
    - Performance specifications, steady-state error
    - First-order, second-order, and higher-order systems 
  4. Stability
    - Definition, Routh-Hurwitz criterion 
  5. Root Locus Techniques
    - Sketching, analysis, and controller design
  6. PID Controller Design and Tuning
    - On-off control, PID characteristics, Ziegler-Nichols tuning
    - Advanced PID controllers
  7. Frequency Response Techniques 
    - Bode plots
    - Analysis and controller design

Course Requirements

Prerequisite: ENGSCI 211, MECHENG 222

Capabilities Developed in this Course

Capability 3: Knowledge and Practice
Capability 4: Critical Thinking

Learning Outcomes

By the end of this course, students will be able to:
  1. Formulate the transfer functions of dynamic systems and use them to analyse the time response characteristics. (Capability 3.1, 3.2 and 4.1)
  2. Analyse the stability of a system using Routh arrays and other methods. (Capability 3.1, 3.2 and 4.1)
  3. Sketch the root locus of a given system transfer function and use root loci to relate to time response characteristics. (Capability 3.1, 3.2 and 4.1)
  4. Sketch Bode diagrams to describe linear dynamic systems in the frequency domain and use the diagrams to determine stability and time response characteristics. (Capability 3.1, 3.2 and 4.1)
  5. Select PID controller forms for a linear system to meet various design specifications in the time domain and calculate PID gains based on desired responses or using Ziegler-Nichols tuning methods. (Capability 3.1, 3.2 and 4.1)
  6. Recognise and describe attributes of physical systems that influence control design and control system performance. (Capability 3.2)
  7. Select appropriate MATLAB functions to create and analyse control systems and plot responses. (Capability 3.1)

Assessments

Assessment Type Percentage Classification
Tests 20% Individual Test
Assignments 20% Individual Coursework
Laboratories 10% Group Coursework
Final Exam 50% Individual Examination
Assessment Type Learning Outcome Addressed
1 2 3 4 5 6 7
Tests
Assignments
Laboratories
Final Exam

Workload Expectations

This course is a standard 15 point course and students are expected to spend 10 hours per week engaged with it.

In each typical week in this course, you can expect 3 hours of lectures and a 1-hour tutorial. The remaining time is expected to be spent independently reading and thinking about the content and working on assessments.

Delivery Mode

Campus Experience

Lectures will be available as recordings. Other learning activities including tutorials and labs will not be available as recordings.
Attendance on campus is required for the labs, tests, and the exam.
The activities for the course are scheduled as a standard weekly timetable with the addition of 2 x 2-hour laboratory sessions during the semester.

Learning Resources

Course materials are made available in a learning and collaboration tool called Canvas which also includes reading lists and lecture recordings (where available).

Please remember that the recording of any class on a personal device requires the permission of the instructor.

Coursebook provided electronically. No required text books.

Health & Safety

Students are expected to adhere to the guidelines outlined in the Health and Safety section of the Engineering Undergraduate Handbook.

Student Feedback

At the end of every semester students will be invited to give feedback on the course and teaching through a tool called SET or Qualtrics. The lecturers and course co-ordinators will consider all feedback and respond with summaries and actions.

Your feedback helps teachers to improve the course and its delivery for future students.

Class Representatives in each class can take feedback to the department and faculty staff-student consultative committees.

Low SET survey response rate (17%) in 2023. Common elements that students found helpful: problem sets and worked examples. No statistically significant issues raised from student feedback.

Academic Integrity

The University of Auckland will not tolerate cheating, or assisting others to cheat, and views cheating in coursework as a serious academic offence. The work that a student submits for grading must be the student's own work, reflecting their learning. Where work from other sources is used, it must be properly acknowledged and referenced. This requirement also applies to sources on the internet. A student's assessed work may be reviewed for potential plagiarism or other forms of academic misconduct, using computerised detection mechanisms.

Class Representatives

Class representatives are students tasked with representing student issues to departments, faculties, and the wider university. If you have a complaint about this course, please contact your class rep who will know how to raise it in the right channels. See your departmental noticeboard for contact details for your class reps.

Inclusive Learning

All students are asked to discuss any impairment related requirements privately, face to face and/or in written form with the course coordinator, lecturer or tutor.

Student Disability Services also provides support for students with a wide range of impairments, both visible and invisible, to succeed and excel at the University. For more information and contact details, please visit the Student Disability Services’ website http://disability.auckland.ac.nz

Special Circumstances

If your ability to complete assessed coursework is affected by illness or other personal circumstances outside of your control, contact a member of teaching staff as soon as possible before the assessment is due.

If your personal circumstances significantly affect your performance, or preparation, for an exam or eligible written test, refer to the University’s aegrotat or compassionate consideration page https://www.auckland.ac.nz/en/students/academic-information/exams-and-final-results/during-exams/aegrotat-and-compassionate-consideration.html.

This should be done as soon as possible and no later than seven days after the affected test or exam date.

Learning Continuity

In the event of an unexpected disruption, we undertake to maintain the continuity and standard of teaching and learning in all your courses throughout the year. If there are unexpected disruptions the University has contingency plans to ensure that access to your course continues and course assessment continues to meet the principles of the University’s assessment policy. Some adjustments may need to be made in emergencies. You will be kept fully informed by your course co-ordinator/director, and if disruption occurs you should refer to the university website for information about how to proceed.

Student Charter and Responsibilities

The Student Charter assumes and acknowledges that students are active participants in the learning process and that they have responsibilities to the institution and the international community of scholars. The University expects that students will act at all times in a way that demonstrates respect for the rights of other students and staff so that the learning environment is both safe and productive. For further information visit Student Charter https://www.auckland.ac.nz/en/students/forms-policies-and-guidelines/student-policies-and-guidelines/student-charter.html.

Disclaimer

Elements of this outline may be subject to change. The latest information about the course will be available for enrolled students in Canvas.

In this course students may be asked to submit coursework assessments digitally. The University reserves the right to conduct scheduled tests and examinations for this course online or through the use of computers or other electronic devices. Where tests or examinations are conducted online remote invigilation arrangements may be used. In exceptional circumstances changes to elements of this course may be necessary at short notice. Students enrolled in this course will be informed of any such changes and the reasons for them, as soon as possible, through Canvas.